35 Points!
1 answer:
Answer:
The expressions are not equivalent.
Step-by-step explanation:
Three-tenths of the total volume, v =
= 0.3 × v --- (1)
But, 310x is 310 × v --- (2)
Since (1) and (2) represent the same volume,
0.3 × v = 310 × v
Divide both sides by v,
0.3 = 310 which is a contradiction.
Therefore, the expressions are not equivalent.
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Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:
Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:
Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
The forecast for November is 235 if August's forecast was 145.
Step-by-step explanation:
The formula for calculating forecast using exponential smoothing is:
Where Ft = New month forecast
Ft-1 = Previous month forecast
At-1 = Previous month actual value
α = smoothing constant
We are given F₈ = 145 (forecast for August), A₈ = 200 (Actual Value for August), α = 2, and we need to compute the forecast for November. So, We will first calculate the forecast for September then October and then November, step-by-step.
So, forecast for September is:
F₉ = F₈ + α (A₈ - F₈)
= 145 + 2*(200-145)
= 145 + 2*55
F₉ = 255
Then, forecast for October is:
F₁₀ = F₉ + α (A₉ - F₉)
= 255 + 2*(220-255)
= 255 + 2*(-35)
F₁₀ = 185
The forecast for November is:
F₁₁ = F₁₀ + α (A₁₀ - F₁₀)
= 185 + 2*(210 - 185)
F₁₁ = 235